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Finding the Third Proportional to 6,005.94 and 13,143.12

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Solution

The third proportional to 6,005.94 and 13,143.12 is: 28,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.94 : 13,143.12 = 13,143.12 : x
  2. Step 2: Convert to fraction form
    6,005.94/13,143.12 = 13,143.12/x
  3. Step 3: Cross multiply
    6,005.94x = 13,143.12 × 13,143.12
  4. Step 4: Simplify right side
    6,005.94x = 172,741,606.41
  5. Step 5: Solve for x
    x = 172,741,606.41/6,005.94
  6. Step 6: Final answer
    x = 28,761.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.